Inverse of Maxwell-Boltzmann Distribution and Planck's Law?

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SUMMARY

The discussion centers on the inverse functions of the Maxwell-Boltzmann distribution and Planck's Law, specifically in relation to determining wavelength from spectral irradiance. Participants referenced the second equation in the Wikipedia article on Planck's Law, which presents the law in terms of wavelength. The inquiry focuses on literature that addresses how to derive wavelength given spectral irradiance, emphasizing the need for clarity in these inverse calculations.

PREREQUISITES
  • Understanding of Maxwell-Boltzmann distribution
  • Familiarity with Planck's Law
  • Knowledge of spectral irradiance concepts
  • Basic mathematical skills for inverse function calculations
NEXT STEPS
  • Research the inverse of the Maxwell-Boltzmann distribution
  • Study the derivation of Planck's Law in terms of wavelength
  • Explore literature on spectral irradiance and its applications
  • Learn about practical applications of inverse functions in physics
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Physicists, researchers in thermodynamics, and students studying statistical mechanics and quantum physics will benefit from this discussion.

tade
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I'm looking for the inverse functions of the Maxwell-Boltzmann distribution and Planck's Law.

Planck's Law in terms of the wavelength.

Any of you know of any literature on this topic?
 
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https://en.wikipedia.org/wiki/Planck's_law
... second equation down gives Planck's law in terms of the wavelength.

Do you mean to answer questions like: "given the spectral irradience, what is the wavelength"?
 
Simon Bridge said:
https://en.wikipedia.org/wiki/Planck's_law
... second equation down gives Planck's law in terms of the wavelength.

Do you mean to answer questions like: "given the spectral irradience, what is the wavelength"?
yup
 

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